Skip to main content
SpringerLink
Log in

First Results from a Study Investigating Swedish Upper Secondary Students’ Mathematical Modelling Competencies

  • Conference paper
  • First Online:
Trends in Teaching and Learning of Mathematical Modelling

Abstract

This chapter reports on the first results from a study investigating Swedish upper-secondary students’ mathematical modelling competency. Using non-parametric statistical methods the data from 381 12th grade students are analysed, and the students’ modelling competency is described in terms of seven sub-competencies. Possible factors affecting the students’ mathematical competency such as attitudes towards modelling, previous experiences, last-taken mathematics course, grade, class and gender are also investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Ärlebäck, J. B. (2009). Mathematical modelling in the Swedish curriculum documents governing the upper secondary mathematics education between the years 1965–2000. [In Swedish] (Report No. 2009:8, LiTH-MAT-R-2009). Linköping: Linköpings universitet, Matematiska institutitionen.

    Google Scholar 

  • Blomhøj, M., & Jensen, T. H. (2003). Developing mathematical modelling competence: Conceptual clarification and educational planning. Teaching Mathematics and its Applications, 22(3), 123–139.

    Article  Google Scholar 

  • Blum, W., & Leiβ, D. (2007). How do students and teachers deal with modelling problems? In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling: Education, engineering and economics (pp. 222–231). Chichester: Horwood.

    Chapter  Google Scholar 

  • Borromeo Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. Zentralblatt für Didaktik der Mathematik, 38(2), 86–95.

    Article  Google Scholar 

  • Haines, C., Crouch, R., & Davis, J. (2001). Understanding students’ modelling skills. In J. F. Matos, W. Blum, K. S. Houston, & S. P. Carreira (Eds.), Modelling and mathematics education: Applications in science and technology (pp. 366–380). Chichester: Horwood.

    Google Scholar 

  • Haines, C., & Crouch, R. (2001). Recognizing constructs within mathematical modelling. Teaching Mathematics and Its Applications, 20(3), 129–138.

    Article  Google Scholar 

  • Haines, C., Crouch, R., & Davis, J. (2000). Mathematical modelling skills: A Research Instrument (Technical Report No. 55). University of Hertfordshire: Dept.of Mathematics.

    Google Scholar 

  • Haines, C., Crouch, R., & Fitzharris, A. (2003). Deconstructing mathematical modelling: Approaches to problem solving. In Q. Ye, W. Blum, K. S. Houston, & Q. Jiang (Eds.), Mathematical modelling in education and culture (pp. 41–53). Chichester: Horwood.

    Google Scholar 

  • Houston, K., & Neill, N. (2003a). Assessing modelling skills. In S. J. Lamon, W. A. Parker, & K. Houston (Eds.), Mathematical modelling: A way of life (pp. 155–164). Chichester: Horwood.

    Google Scholar 

  • Houston, K., & Neill, N. (2003b). Investigating students’ modelling skills. In Q. Ye, W. Blum, K. S. Houston, & Q. Jiang (Eds.), Mathematical modelling in education and culture (pp. 54–66). Chichester: Horwood.

    Google Scholar 

  • Ikeda, T., Stephens, M., & Matsuzaki, A. (2007). A teaching experiment in mathematical modelling. In Mathematical modelling: Education, engineering and economics (pp. 101–109). Chichester: Horwood.

    Google Scholar 

  • Izard, J., Haines, C., Crouch, R., Houston, K., & Neill, N. (2003). Assessing the impact of teaching mathematical modelling: Some implications. In S. J. Lamon, W. A. Parker, & K. Houston (Eds.), Mathematical modelling: A way of life (pp. 165–177). Chichester: Horwood.

    Google Scholar 

  • Kaiser, G. (2007). Modelling and modelling competencies in school. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling: Education, engineering and economics (pp. 110–119). Chichester: Horwood.

    Google Scholar 

  • Lingefjärd, T., & Holmquist, M. (2005). To assess students’ attitudes, skills and competencies in mathematical modeling. Teaching Mathematics and Its Applications, 24(2–3), 123–133.

    Article  Google Scholar 

  • Maaß, K. (2006). What are modelling competencies? Zentralblatt für Didaktik der Mathematik, 38(2), 113–142.

    Article  Google Scholar 

  • Palm, T., Bergqvist, E., Eriksson, I., Hellström, T., & Häggström, C. (2004). En tolkning av målen med den svenska gymnasiematematiken och tolkningens konsekvenser för uppgiftskonstruktion (Report No. 199). Umeå: Enheten för pedagogiska mätningar, Umeå universitet.

    Google Scholar 

  • Skolverket. (2000). Upper secondary school, syllabuses, mathematics. Retrieved 09/15, 2008, from http://www.skolverket.se/sb/d/190.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Linköping University, Linköping, Sweden

    Peter Frejd & Jonas Bergman Ärlebäck

Authors
  1. Peter Frejd
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jonas Bergman Ärlebäck
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Peter Frejd .

Editor information

Editors and Affiliations

  1. FB Erziehungswissenschaft, Inst. Didaktik der Mathematik, Universität Hamburg, Von Melle Park 8, Hamburg, 20146, Germany

    Gabriele Kaiser

  2. Abt. Mathematik/Informatik, Universität Kassel, Kassel, 34109, Germany

    Werner Blum

  3. University of Hamburg, Germany, Doscherstrasse 1, Hamburg, 22083, Germany

    Rita Borromeo Ferri

  4. University of Melbourne, Australia, 23 Grampian Street, Victoria, 3072, Australia

    Gloria Stillman

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this paper

Cite this paper

Frejd, P., Ärlebäck, J.B. (2011). First Results from a Study Investigating Swedish Upper Secondary Students’ Mathematical Modelling Competencies. In: Kaiser, G., Blum, W., Borromeo Ferri, R., Stillman, G. (eds) Trends in Teaching and Learning of Mathematical Modelling. International Perspectives on the Teaching and Learning of Mathematical Modelling, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0910-2_40

Download citation

Publish with us

Policies and ethics

Search

Navigation